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2314665045 = 335711415431
BaseRepresentation
bin1000100111110110…
…1111110001010101
312222022110011112000
42021331233301111
514220023240140
61021403145513
7111234220410
oct21175576125
95868404460
102314665045
11a88628120
12547215299
132ab70b1b4
1417d5a8b77
15d831ba30
hex89f6fc55

2314665045 has 128 divisors (see below), whose sum is σ = 5256437760. Its totient is φ = 938304000.

The previous prime is 2314665029. The next prime is 2314665047. The reversal of 2314665045 is 5405664132.

2314665045 is a `hidden beast` number, since 2 + 3 + 146 + 6 + 504 + 5 = 666.

It is not a de Polignac number, because 2314665045 - 24 = 2314665029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2314665047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 423480 + ... + 428910.

It is an arithmetic number, because the mean of its divisors is an integer number (41065920).

Almost surely, 22314665045 is an apocalyptic number.

It is an amenable number.

2314665045 is an abundant number, since it is smaller than the sum of its proper divisors (2941772715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2314665045 is a wasteful number, since it uses less digits than its factorization.

2314665045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5504 (or 5498 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2314665045 is about 48110.9659537199. The cubic root of 2314665045 is about 1322.8056799868.

The spelling of 2314665045 in words is "two billion, three hundred fourteen million, six hundred sixty-five thousand, forty-five".

Divisors: 1 3 5 7 9 11 15 21 27 33 35 41 45 55 63 77 99 105 123 135 165 189 205 231 287 297 315 369 385 451 495 615 693 861 945 1107 1155 1353 1435 1485 1845 2079 2255 2583 3157 3465 4059 4305 5431 5535 6765 7749 9471 10395 12177 12915 15785 16293 20295 27155 28413 38017 38745 47355 48879 59741 60885 81465 85239 114051 142065 146637 179223 190085 222671 244395 298705 342153 418187 426195 537669 570255 668013 733185 896115 1026459 1113355 1254561 1558697 1613007 1710765 2004039 2090935 2449381 2688345 3340065 3763683 4676091 5132295 6012117 6272805 7348143 7793485 8065035 10020195 11291049 12246905 14028273 17145667 18818415 22044429 23380455 30060585 36740715 42084819 51437001 56455245 66133287 70141365 85728335 110222145 154311003 210424095 257185005 330666435 462933009 771555015 2314665045